# Optimization of Constrained Quasiconformal Mapping for Origami Design

arXiv: https://arxiv.org/abs/2604.20137 · HTML: https://mlsanity.com/paper/2604.20137/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 22 Apr 2026.

## Built on by (most cited first, 1 of 1)

- [PhyDrawGen: Physically Grounded Diagram Generation from Natural Language](https://mlsanity.com/paper/2605.30512/) (2026)

## Abstract (arXiv)

Origami structures, particularly Miura-ori patterns, offer unique capabilities for surface approximation and deployable designs. In this study, a constrained mapping optimization algorithm is designed for designing surface-aligned Miura-ori via a narrow band approximation of the input surface. The Miura-fold, embedded in the narrow band, is parameterized to a planar domain, and a mapping is computed on the parameter pattern by optimizing certain energy terms and constraints. Extensive experiments are conducted, showing the significance and flexibility of our methods.